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Finding the Third Proportional to 32 and 48.50

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Solution

The third proportional to 32 and 48.50 is: 73.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 48.50 = 48.50 : x
  2. Step 2: Convert to fraction form
    32/48.50 = 48.50/x
  3. Step 3: Cross multiply
    32x = 48.50 × 48.50
  4. Step 4: Simplify right side
    32x = 2,352.25
  5. Step 5: Solve for x
    x = 2,352.25/32
  6. Step 6: Final answer
    x = 73.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.